This paper seeks ring-theoretic conditions of an integral domain R that reflect in the Clifford property or Boolean property of its class semigroup S(R), that is, the semigroup of the isomorphy classes of the nonzero (integral) ideals of R with the operation induced by multiplication. Precisely, in
β¦ LIBER β¦
Integral domains with Booleant-class semigroup
β Scribed by S. Kabbaj; A. Mimouni
- Book ID
- 113112313
- Publisher
- Springer-Verlag
- Year
- 2012
- Tongue
- English
- Weight
- 309 KB
- Volume
- 1
- Category
- Article
- ISSN
- 2193-5343
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Class semigroups of integral domains
β
S. Kabbaj; A. Mimouni
π
Article
π
2003
π
Elsevier Science
π
English
β 210 KB
t-class semigroups of integral domains
β
Kabbaj, S; Mimouni, A
π
Article
π
2007
π
Walter de Gruyter GmbH & Co. KG
π
English
β 341 KB
PrΓΌfer domains with Clifford class semig
β
Mcgovern, Warren Wm.
π
Article
π
2011
π
Rocky Mountain Mathematics Consortium
π
English
β 226 KB
Quotient Semigroups of Integral Domains
β
Walton, R. A.
π
Article
π
1974
π
Oxford University Press
π
English
β 143 KB
The class group of integral domains
β
David F. Anderson; Gyu Whan Chang
π
Article
π
2003
π
Elsevier Science
π
English
β 192 KB
Class Semigroups of PrΓΌfer Domains
β
S Bazzoni
π
Article
π
1996
π
Elsevier Science
π
English
β 218 KB
The class semigroup of a commutative integral domain R is the semigroup S S R of the isomorphism classes of the nonzero ideals of R with the operation induced by multiplication. The aim of this paper is to characterize the Prufer domains R Ε½ . such that the semigroup S S R is a Clifford semigroup, n